Answer
Explanation
Given:
[tex]y=-\frac{5}{x}[/tex]
To determine whether the relation defines y as a function of x, we get the domain first.
Based on the given relation, when we plug in x=0, the value would be undefined. So the function domain is x<0 or x>0.
Hence, the interval notation is:
[tex](-\infty,0)\cup(0,-\infty)[/tex]
We can use vertical line test to determine if it is a function as shown in the graph below:
As we can see, there's only one point of intersection so the relation defines y as a function of x. Therefore, the answer is:
Function; domain
[tex](-\infty,0)\cup(0,-\infty)[/tex]
